Complex-Energy Shell Model Description of Alpha Decay
R. Id Betan 1*, W. Nazarewicz
1 Department of Physics and Chemistry (FCEIA-UNR),
Rosario Physics Institute (CONICET),
Av. Pellegrini 250, 2000 Rosario, Argentina.
2 Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA.
Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831, USA.
In his description of alpha decay, Gamow assumed that the alpha particle formed inside the nucleus penetrates through the potential barrier. The decaying metastable state (Gamow state) corresponds to the complex-energy solution of the time independent Schrödinger equation with the outgoing boundary condition. The formation of the alpha cluster, missing in the original Gamow formulation, can be described within the R-matrix theory through the formation amplitude. In this work, alpha decay process is described by computing the formation amplitude and penetrability in a large complex-energy configuration space spanned by the eigenstates of the finite Woods-Saxon potential. Results are presented for the benchmark cases of 212Po and 104Te.